Matrix: Nasa/barth5

Description: BARTH5: Nasa matrix, but with a diagonal added to the original matrix

Nasa/barth5 graph Nasa/barth5 graph
(bipartite graph drawing) (graph drawing of A+A')

Nasa/barth5 dmperm of Nasa/barth5

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Nasa
  • Click here for a description of the Nasa group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 113 KB. Use UFget(756) or UFget('Nasa/barth5') in MATLAB.
  • download in Matrix Market format, file size: 172 KB.
  • download in Rutherford/Boeing format, file size: 140 KB.

    Matrix properties
    number of rows15,606
    number of columns15,606
    nonzeros61,484
    structural full rank?yes
    structural rank15,606
    # of blocks from dmperm1,155
    # strongly connected comp.1,155
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typebinary
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorNASA
    editorG. Kumfert, A. Pothen
    date1995
    kindduplicate structural problem
    2D/3D problem?yes

    Notes:

    Let A=Nasa/barth5, then Pothen/barth5 = spones(A+A') with xyz coord.

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD368,416
    Cholesky flop count1.8e+07
    nnz(L+U), no partial pivoting, with AMD721,226
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD211,062
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD416,482

    SVD-based statistics:
    norm(A)4.22767
    min(svd(A))7.2247e-11
    cond(A)5.8517e+10
    rank(A)15,606
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    Nasa/barth5 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.